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A Study on Optimal Sensor Design of Static System

정적시스템에서 최적의 센서설계에 대한 연구

  • Received : 2021.03.16
  • Accepted : 2021.05.25
  • Published : 2021.06.30

Abstract

One of the most important techniques utilized in the maintenance of existing structures is structural health monitoring. Innovative and sensitive sensors as well as real-time measurement systems that can collect more accurate information and evaluate structural performance more explicitly have been developed. Starting from the static equilibrium equation constrained by eigenvectors of stiffness matrix and generalized coordinates, this work presents the optimal sensor placement (OSP) algorithms of D-1 and D-2 algorithms as direct method, FIM-based approach, EI-based algorithm, and the orthogonalization methods using Gran-Schmidt orthgonalization and proper orthogonal decomposition. The validity of the proposed methods is illustrated in a truss structure. The FIM-based approach, EI-based algorithm, and EV-based approach indicated similar sensor locations along the entire span. It is analyzed that the difference of the OSPs comes from the establishment of different weighting matrices, numerical approximation, and the numerically inappreciable difference during the iteration.

Keywords

Acknowledgement

이 성과는 정부(과학기술정보통신부)의 재원으로 한국연구재단의 지원을 받아 수행된 연구임 (NRF-2020R1F1A1069328).

References

  1. Bertola, N., Papadopoulou, M., Vernay, D., & Smith, I. (2017). Optimal multi-type sensor placement for structural identification by static-load testing, Sensors, 17(12), 2904, doi:10.3390/s17122904.
  2. Gong, Y., Liu, H., & Cheng, Y. (2011). Optimal placement of static sensors based on damage identification for bridge health monitoring, Third International Conference on Transportation Engineering(ICTE).
  3. Eun, H., Lee, E., & Chung, H. (2004). On the static analysis of constrained structural systems, Canadian Journal of Civil Engineering, 31(6), 1119-1122. https://doi.org/10.1139/l04-036
  4. Kammer, D. (1991). Sensor placement for on-orbit modal identification and correlation of large space structures, Journal of Guidance, Control, and Dynamics, 14(2), 251-259. https://doi.org/10.2514/3.20635
  5. Kammer, D., & Peck, J. (2008). Mass-weighting methods for sensor placement using sensor set expansion techniques, Mechanical Systems and Signal Processing, 22(7), 1515-1525. https://doi.org/10.1016/j.ymssp.2008.01.002
  6. Lu, L., Wang, X., & Huang, C. (2013). A new method of optimal sensor placement for modal identification of offshore platform structure. The 2013 World Congresson Advances in Structural Engineering and Mechanics(ASEM13), Korea.
  7. Penny, J., Friswell, M., & Garvey, S. (1994). Automatic choice of measurement locations for dynamic testing, AIAA Journal, 32(2), 30-36.
  8. Sanayei, M., & Javdekar, C. (2002). Sensor placement for parameter estimation of structures using Fisher information matrix, Seventh International Conference on Applications of Advanced Technologies in Transportation (AATT).
  9. Song, J., Lee, E., & Eun, H. (2021). Optimal sensor placement through expansion of static strain measurements to static displacements, International Journal of Distributed Sensor Networks, doi:10.1177/1550147721991712.
  10. van der Linden, G., Emami-Naeini, A., Kosut, R., Sedaarat, H., & Lynch, J. (2011). Optimal sensor placement for health monitoring of civil structures, Proceedings of the 2011 American Control Conference.
  11. Xiao, F., Hulsey, J, Chen, G., & Xiang, Y. (2017). Optimal static strain sensor placement for truss bridges, International Journal of Distributed Sensor Networks, 13(5), DOI: 10.1177/1550147717707929.
  12. Zhang, X., Zhu, S., Xu, Y., & Homg, X. (2011). Integrated optimal placement of displacement transducers and strain gauges for better estimation of structural response, International Journal of Structural Stability and Dynamics, 11(03), 581-602. https://doi.org/10.1142/S0219455411004221